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uysha [10]
2 years ago
14

!!!Please Help!!! Urgent!!! -Geometry 1

Mathematics
1 answer:
Bond [772]2 years ago
6 0

Answer:

Coordinates of P:  (10,2)

Step-by-step explanation:

Slope of ST = (2-(-5))/(-4-3) = -1

angle S = 90° so Slope of SP = 1

P(10,2)

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x-y=8\\
-----\\
2x=48\\
x=24\\\\
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3 years ago
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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
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now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

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\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
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3 years ago
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